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Article . 2017
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Generalized Ostrowski type inequalities for local fractional integrals

Authors: Sarikaya, Mehmet Zeki; Budak, HÜSEYİN;

Generalized Ostrowski type inequalities for local fractional integrals

Abstract

First, we establish the generalized Ostrowski inequality for local fractional integrals on fractal setsRαR^{\alpha }(0>α≤1)\left ( 0>\alpha \leq 1\right )of real line numbers. Secondly, we obtain some new inequalities using the generalized convex function on fractal setsRαR^{\alpha }.

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Turkey
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Keywords

generalized Ostrowski inequality, fractional integral, Fractional derivatives and integrals, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Inequalities involving other types of functions, fractal sets, generalized convex functions, generalized Hölder inequality

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Powered by OpenAIRE graph
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
112
Top 1%
Top 1%
Top 10%
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